{"id":1966,"date":"2021-12-02T19:40:14","date_gmt":"2021-12-03T00:40:14","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-7\/"},"modified":"2023-09-01T14:41:39","modified_gmt":"2023-09-01T18:41:39","slug":"answer-key-9-7","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-7\/","title":{"raw":"Answer Key 9.7","rendered":"Answer Key 9.7"},"content":{"raw":"
    \r\n \t
  1. [latex](x^{-2--2}y^{-6-4})^2[\/latex]\r\n[latex](1\\cancel{x^0}y^{-10})^2[\/latex]\r\n[latex]y^{-20}\\text{ or }\\dfrac{1}{y^{20}}[\/latex]<\/li>\r\n \t
  2. [latex](x^{-3--1}y^{-3-6})^3[\/latex]\r\n[latex](x^{-2}y^{-9})^3[\/latex]\r\n[latex]x^{-6}y^{-27}\\text{ or }\\dfrac{1}{x^6y^{27}}[\/latex]<\/li>\r\n \t
  3. [latex](x^{-2-2}y^{-4--4})^2[\/latex]\r\n[latex](x^{-4}\\cancel{y^0}1)^2[\/latex]\r\n[latex]x^{-8}\\text{ or }\\dfrac{1}{x^8}[\/latex]<\/li>\r\n \t
  4. [latex](x^{-5--4}y^{-3-2})^4[\/latex]\r\n[latex](x^{-1}y^{-5})^4[\/latex]\r\n[latex]x^{-4}y^{-20}\\text{ or }\\dfrac{1}{x^4y^{20}}[\/latex]<\/li>\r\n \t
  5. [latex](x^{-2--3}y^{-2-3})^8[\/latex]\r\n[latex](x^1y^{-5})^8[\/latex]\r\n[latex]x^8y^{-40}\\text{ or }\\dfrac{x^8}{y^{40}}[\/latex]<\/li>\r\n \t
  6. [latex](x^{-4--3}y^{-3-2})^5[\/latex]\r\n[latex](x^{-1}y^{-5})^5[\/latex]\r\n[latex]x^{-5}y^{-25}\\text{ or }\\dfrac{1}{x^5y^{25}}[\/latex]<\/li>\r\n \t
  7. [latex](x^{-2--2}y^{-4-4})^{-2}[\/latex]\r\n[latex](1\\cancel{x^0}y^{-8})^{-2}[\/latex]\r\n[latex]y^{16}[\/latex]<\/li>\r\n \t
  8. [latex](x^{-2--5}y^{-3-3})^{-3}[\/latex]\r\n[latex](x^3y^{-6})^{-3}[\/latex]\r\n[latex]x^{-9}y^{18}\\text{ or }\\dfrac{y^{18}}{x^9}[\/latex]<\/li>\r\n \t
  9. [latex](x^{-2--2}y^{-3--3})^{-1}[\/latex]\r\n[latex](\\cancel{x^0y^0}1)^{-1}[\/latex]\r\n1<\/li>\r\n \t
  10. [latex]{(x^{-2--2}y^{-3--4})}^{-2}[\/latex]\r\n[latex](x^0y^{-7})^{-2}[\/latex]\r\n[latex]y^{14}[\/latex]<\/li>\r\n \t
  11. [latex]\\left(\\dfrac{1\\cancel{x^0}y^{-3}}{x^{-2}\\cancel{y^0}1}\\right)^{-5}[\/latex]\r\n[latex]\\phantom{a}[\/latex]\r\n[latex]\\left(\\dfrac{x^2}{y^3}\\right)^{-5}[\/latex]\r\n[latex]\\phantom{a}[\/latex]\r\n[latex]\\dfrac{x^{-10}}{y^{-15}}[\/latex]\r\n[latex]\\phantom{a}[\/latex]\r\n[latex]\\dfrac{y^{15}}{x^{10}}[\/latex]<\/li>\r\n \t
  12. 1<\/li>\r\n \t
  13. [latex]\\left(\\dfrac{1 \\cancel{a^0}b^3}{a^6b^{-12}}\\right)^{-\\frac{1}{3}}[\/latex]\r\n[latex]\\phantom{a}[\/latex]\r\n[latex]\\left(\\dfrac{b^{15}}{a^6}\\right)^{-\\frac{1}{3}}[\/latex]\r\n[latex]\\phantom{a}[\/latex]\r\n[latex]\\dfrac{b^{-5}}{a^{-2}}\\text{ or }\\dfrac{a^2}{b^5}[\/latex]<\/li>\r\n \t
  14. [latex](a^4b^4c^{12})^{\\frac{1}{4}}[\/latex]\r\n[latex]abc^3[\/latex]<\/li>\r\n \t
  15. [latex]\\left(\\dfrac{a^5c^{10}d^{15}}{b^5}\\right)^{\\frac{2}{5}}[\/latex]\r\n[latex]\\phantom{a}[\/latex]\r\n[latex]\\dfrac{a^2c^4d^6}{b^2}[\/latex]<\/li>\r\n \t
  16. [latex]\\left(\\dfrac{b^{20}}{a^4}\\right)^{-\\frac{3}{4}}[\/latex]\r\n[latex]\\phantom{a}[\/latex]\r\n[latex]\\dfrac{b^{-15}}{a^{-3}}\\text{ or }\\dfrac{a^3}{b^{15}}[\/latex]<\/li>\r\n \t
  17. 1<\/li>\r\n \t
  18. Undefined<\/li>\r\n<\/ol>","rendered":"
      \n
    1. [latex](x^{-2--2}y^{-6-4})^2[\/latex]
      \n[latex](1\\cancel{x^0}y^{-10})^2[\/latex]
      \n[latex]y^{-20}\\text{ or }\\dfrac{1}{y^{20}}[\/latex]<\/li>\n
    2. [latex](x^{-3--1}y^{-3-6})^3[\/latex]
      \n[latex](x^{-2}y^{-9})^3[\/latex]
      \n[latex]x^{-6}y^{-27}\\text{ or }\\dfrac{1}{x^6y^{27}}[\/latex]<\/li>\n
    3. [latex](x^{-2-2}y^{-4--4})^2[\/latex]
      \n[latex](x^{-4}\\cancel{y^0}1)^2[\/latex]
      \n[latex]x^{-8}\\text{ or }\\dfrac{1}{x^8}[\/latex]<\/li>\n
    4. [latex](x^{-5--4}y^{-3-2})^4[\/latex]
      \n[latex](x^{-1}y^{-5})^4[\/latex]
      \n[latex]x^{-4}y^{-20}\\text{ or }\\dfrac{1}{x^4y^{20}}[\/latex]<\/li>\n
    5. [latex](x^{-2--3}y^{-2-3})^8[\/latex]
      \n[latex](x^1y^{-5})^8[\/latex]
      \n[latex]x^8y^{-40}\\text{ or }\\dfrac{x^8}{y^{40}}[\/latex]<\/li>\n
    6. [latex](x^{-4--3}y^{-3-2})^5[\/latex]
      \n[latex](x^{-1}y^{-5})^5[\/latex]
      \n[latex]x^{-5}y^{-25}\\text{ or }\\dfrac{1}{x^5y^{25}}[\/latex]<\/li>\n
    7. [latex](x^{-2--2}y^{-4-4})^{-2}[\/latex]
      \n[latex](1\\cancel{x^0}y^{-8})^{-2}[\/latex]
      \n[latex]y^{16}[\/latex]<\/li>\n
    8. [latex](x^{-2--5}y^{-3-3})^{-3}[\/latex]
      \n[latex](x^3y^{-6})^{-3}[\/latex]
      \n[latex]x^{-9}y^{18}\\text{ or }\\dfrac{y^{18}}{x^9}[\/latex]<\/li>\n
    9. [latex](x^{-2--2}y^{-3--3})^{-1}[\/latex]
      \n[latex](\\cancel{x^0y^0}1)^{-1}[\/latex]
      \n1<\/li>\n
    10. [latex]{(x^{-2--2}y^{-3--4})}^{-2}[\/latex]
      \n[latex](x^0y^{-7})^{-2}[\/latex]
      \n[latex]y^{14}[\/latex]<\/li>\n
    11. [latex]\\left(\\dfrac{1\\cancel{x^0}y^{-3}}{x^{-2}\\cancel{y^0}1}\\right)^{-5}[\/latex]
      \n[latex]\\phantom{a}[\/latex]
      \n[latex]\\left(\\dfrac{x^2}{y^3}\\right)^{-5}[\/latex]
      \n[latex]\\phantom{a}[\/latex]
      \n[latex]\\dfrac{x^{-10}}{y^{-15}}[\/latex]
      \n[latex]\\phantom{a}[\/latex]
      \n[latex]\\dfrac{y^{15}}{x^{10}}[\/latex]<\/li>\n
    12. 1<\/li>\n
    13. [latex]\\left(\\dfrac{1 \\cancel{a^0}b^3}{a^6b^{-12}}\\right)^{-\\frac{1}{3}}[\/latex]
      \n[latex]\\phantom{a}[\/latex]
      \n[latex]\\left(\\dfrac{b^{15}}{a^6}\\right)^{-\\frac{1}{3}}[\/latex]
      \n[latex]\\phantom{a}[\/latex]
      \n[latex]\\dfrac{b^{-5}}{a^{-2}}\\text{ or }\\dfrac{a^2}{b^5}[\/latex]<\/li>\n
    14. [latex](a^4b^4c^{12})^{\\frac{1}{4}}[\/latex]
      \n[latex]abc^3[\/latex]<\/li>\n
    15. [latex]\\left(\\dfrac{a^5c^{10}d^{15}}{b^5}\\right)^{\\frac{2}{5}}[\/latex]
      \n[latex]\\phantom{a}[\/latex]
      \n[latex]\\dfrac{a^2c^4d^6}{b^2}[\/latex]<\/li>\n
    16. [latex]\\left(\\dfrac{b^{20}}{a^4}\\right)^{-\\frac{3}{4}}[\/latex]
      \n[latex]\\phantom{a}[\/latex]
      \n[latex]\\dfrac{b^{-15}}{a^{-3}}\\text{ or }\\dfrac{a^3}{b^{15}}[\/latex]<\/li>\n
    17. 1<\/li>\n
    18. Undefined<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":88,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"back-matter-type":[],"contributor":[],"license":[56],"class_list":["post-1966","back-matter","type-back-matter","status-publish","hentry","license-cc-by-nc-sa"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1966","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":2,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1966\/revisions"}],"predecessor-version":[{"id":2235,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1966\/revisions\/2235"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1966\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1966"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1966"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1966"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1966"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}